2 papers
math.NT2017
Branches on division algebras
Manuel Arenas, Luis Arenas-Carmona
We describe the set of maximal orders in a 2-by-2 matrix algebra over a non-commutative local division algebra B containing a given suborder, for certain important families of such…
math.NT2016
On optimal embeddings and trees
Manuel Arenas, Luis Arenas-Carmona, Jaime Contreras
We apply the theory of Bruhat-Tits trees to the study of optimal embeddings of two and three dimensional commutative orders into quaternion algebras. Specifically, we determine how…